Answer
$(x+2)(x+4)$
Work Step by Step
Using the factoring of trinomials in the form $x^2+bx+c,$ the given $\text{
expression
}$
\begin{align*}
x^2+6x+8
\end{align*} has $c=
8
$ and $b=
6
.$
The two numbers with a product of $c$ and a sum of $b$ are $\left\{
2,4
\right\}.$ Using these two numbers, the factored form of the $\text{
expression
}$ above is
\begin{align*}
(x+2)(x+4)
\end{align*}